SCHEME OF WORKS
MATHEMATICS FORM 4
2013
PREPARED BY:
(PN MAIZATUL AIZA ZAIDI)
GURU MATAPELAJARAN
MATHEMATICS FORM 4
Week/
Date
Learning
Area
Learning
ObjectivesLearning Outcomes CCTS
Remark
s
2
7/1-
11/1/2013
Chapter 1:
Standard
Form
1. Understand
and use the
concept of
significant
figure
Students will be able to:
1. round off positive
numbers to a given
number of significant
figures when the numbers
are:
greater than 1
less than 1
1. perform operations of
addition, subtraction,
multiplication and
contextua
l
working
out
mentally
finding all
possible
solutions
identifyin
g
relations
division, involving a few
numbers and state the
answer in specific
significant figures
2. solve problems involving
significant figure
3
14/1-
18/1/2013
1. Understand
and use the
concept of
standard form to
solve problem
state positive numbers in
standard form when the
numbers are:
1. greater than or equal to
10
2. less than 1
convert numbers in
standard form to single
numbers
perform operations of
addition, subtraction,
multiplication and
division, involving any two
numbers and state the
answers in standard form
working
out
mentally
identifyin
g
relations
solve problems involving
numbers in standard form
4
21/1-
26/1/2013
Chapter 2:
Quadratic
Expressions
and
Equations
2.1 Understand
the concept of
Quadratic
Expression
2.2 Factorization
quadratic
expression
1. Identify quadratic
expressions
2. Form quadratic
expressions by
multiplying any two linear
expressions
3. Form quadratic
expressions based on
specific situations
i Factorise quadratic
expressions of the form
ax2+bx+c=0, where b= 0 or
c= 0
ii Factorise quadratic
classifyin
g
arranging
sequentia
lly
translatin
g
expressions of the form px2 –
q, p
and q are the perfect
squares
5
29/1 -
1/2/13
6
4/2/-
8/2/2013
2.3 Understand
the concept of
Quadratic
CUTI TAHUN BARU CINA
iii Factorise quadratic
expressions of the form ax2+
bx +
c, where a, b and c not
equal to zero
iv Factorise quadratic
expressions containing
coefficients
arranging
sequentia
lly
arranging
Equation
with common factors
1. Identify quadratic
equations with one
unknown
2. Write quadratic equations
in general form i.e.
ax2 + bx + c = 0
3. Form quadratic equations
based on specific
situations
sequentia
lly
classifyin
g
translatin
g
7
Cuti
tahun
baru cina
(11-15
concept of Roots
of quadratic
equations
1. determine the solutions
for quadratic equations
by:
A. trial and error method
B. factorization
iii. solve problems involving
comparin
g &
differenti
ating
feb )
8
18/2-
22/2/2013
quadratic equation
finding all
possible
solutions
9
25/2-
1/3/2013
Chapter 3:
Sets
3.1 Understand
the concept of
Set 1. sort given objects into
groups
2. define sets by
A. descriptions
B. using set notation
iii identify whether a given
object is an element of a set
and use the symbol or
iv. represent sets by using
making
generaliz
ations
working
out
mentally
classifyin
g
-comparing
and
differentiatin
g
Venn diagrams
v. list the elements and state
the number of elements of a
set
vi. determine whether a set
is an empty set
vii. determine whether two
sets are equal
10
4/3-8/3/13
3.2 Understand
and use the
concept of
Subset, universal
set and the
complement of a
set
determine whether a
given set is a subset of a
specific set and use the
symbol or .
represent subset by using
Venn diagram
list the subsets for a
specific set
illustrate the relationship
between set and universal
set using Venn diagram
classifyin
g
finding all
possible
solutions
drawing
diagrams
identifyin
g
relations
determine the
complement of a given
set
determine the
relationship between set,
subset,
universal set and the
complement of a set
interpreti
ng
11
Ujian
bulanan
(11-15
mac)
12
18/3-
22/3/2013
3.3 Perform
Operations on set
determine the
intersection of
1. two sets
2. three sets
and use the symbol
represent the intersection
of sets using Venn
diagram
state the relationship
between
1. and A
comparin
g and
differenti
ating
drawing
diagrams
identifyin
g
relations
interpreti
ng
translatin
g
making
generaliz
13
1/4 –
5/4/13
2. and B
determine the
complement of the
intersection of sets
solve problems involving
the intersection of sets.
determine the union of
1. two sets
2. three sets
and use the symbol
represent the union of
sets using Venn diagram
state the relationship
between
1. and A
2. and B
determine the
complement of the union
of sets
solve problems involving
ation
the union of sets
determine the outcome of
combined operations on
sets
xii. solve problems involving
combined operations on set
CUTI PERTENGAHAN PENGGAL 1 [ 23-31 MAC 2013]
14
8/4-
12/4/2013
Chapter 4:
Mathematica
l Reasoning
4.1 Understand
the concept of
Statement
determine whether a
given sentence is a
statement
determine whether a
given statement is true or
false3-
construct true or false
statement using given
numbers and
Classifyin
g
Working
out
mentally
Translatin
g
Interpreti
ng
mathematical symbols
15
15/4 –
18/4/12
4.2 Understand
the concept of
Quantifiers “all”
and “some”
construct statements
using quantifier
all
some
determine whether a
statement that contains
the quantifier “all” is true
or false
determine whether a
statement can be
generalized to cover all
cases by using the
quantifier “all”
construct a true
statement using the
quantifier “all” or “some”
given an object and a
property”
Working
out
mentally
Identifyin
g
relations
16 4.3 Perform
Operations
Involving the
words “not” or ”
change the truth value of
a given statement by
placing the word “not”
into the original
working
out
mentally
22/4 -
27/4/2013
no” statements statement
identify two statements
from a compound
statement that contains
the word “and”
form a compound
statement by combining
two given statements
using the word “and”
identify two statement
from a compound
statement that contains
the word “or”
form a compound
statement by combining
two given statements
using the word “or”
determine the truth value
of a compound statement
which is the combination
of two statements with
the word “and”
determine the truth value
of a compound statement
which is the combination
of two statements with
classifyin
g
the word “or”
4.4 Understand
the concept of
Implication
identify the antecedent
and consequent of an
implication “if p, then q“
write two implications
from a compound
statement containing “if
and only if”
construct mathematical
statements in the form of
implication:
1. If p, then q
2. p if and only if q
determine the converse of
a given implication
determine whether the
converse of an implication
is true or false
working
out
mentally
classifyin
g
17 4.5 Understand
the concept of
1. identify the premise and
conclusion of a given
simple argument
Classifyin
g
Making
29/4-
3/5/2013Argument
2. make a conclusion based
on two given premises
for:
A. Argument Form I
B. Argument Form II
C. Argument Form III
3. complete an argument
given a premise and the
conclusion
inference
s
4.6 Understand
and use the
concept of
Deduction and
Induction
1. determine whether a
conclusion is made
through:
A. reasoning by deduction
B. reasoning by induction
2. make a conclusion for a
specific case based on a
given general statement,
by deduction
3. make a generalization
based on the pattern of a
numerical sequence, by
induction
4. use deduction and
induction in problem
classifyin
g
making
inference
s
making
generaliz
ation
looking
for
patterns
making
analogy
solving
Chapter 5:
The Straight
Line
5.l Understant the
concept of
gradient of a
straight line
1. determine the vertical
and horizontal distances
between two given points
on a straight line
ii. determine the ratio of
vertical distance to
horizontal distance
Interpreti
ng
16
23/4-
28/4/2012
5.2 Understant
the concept of
gradient of a
straight line in
Cartesian
coordinates
1. derive the formula for the
gradient of a straight line
2. calculate the gradient of a
straight line passing
through two points
3. determine the
relationship between the
value of the gradient and
the:
A. steepness
B. direction of inclination
interpreti
ng
classifyin
g
of a straight line
17
30/4-
05/5/2012
5.3 Understand
the concept of
intercept
1. determine the x-intercept
and the y-intercept of a
straight line
2. derive the formula for the
gradient of a straight line
in terms of the x-intercept
and the y-intercept
3. perform calculations
involving gradient x-
intercept and y-intercept
interpreti
ng
18
6/5 -
10/5/2013
5.4Understand
and use the
concept of
Equation of a
straight line
1. draw the graph given an
equation of the form y =
mx + c
2. determine whether a
given point lies on a
specific straight line
3. write the equation of the
straight line given the
gradient and y-intercept
4. determine the gradient
and y-intercept of the
drawing
diagrams
comparin
g and
differenti
ating
working
out
mentally
straight line which
equation is of the form:
a) y = mx + c
b) ax + by = c
5. find the equation of the
straight line which:
A. is parallel to the x-axis
B. is parallel to the y-axis
C. passes through a given
point and has a
specific gradient
D. passes through two
given points
6. find the point of the
intersection of two
straight lines by:
A. drawing the two
straight lines
B. solving simultaneous
equations
5.5 Understand 1. verify that two parallel comparin
19
14/5-
19/5/201
2
20
21/5 –
26/5/12
and use the
concept of
Parallel line
lines have the same
gradient and vice versa
2. determine from the given
equations whether two
straight lines are parallel
3. find the equation of the
straight line which passes
through a given point and
is parallel to another
straight line
4. solve problems involving
equations of straight lines
PEPERIKSAAN PENGGAL 1
(WEEK 19-20)
CUTI PERTENGAHAN
TAHUN [24.5-13-
9/6/2012]
g and
differenti
ating
21
10/6 -
14/6/13
Chapter 6:
Statistics
6.1 Understand
the concept of
class Interval
1. complete the class
interval for a set of data
given one of the class
intervals
2. determine:
A. the upper limit an
lower limit
B. the upper boundary
and lower boundary
of a class in a group data
3. calculate the size of a
class interval
working
out
mentally
classifyin
g
making
inference
s
22
17/6 –
21/6/13
1. determine the class
interval, given a set of
data and the numbers of
classes
2. determine a suitable class
interval for a given set of
data
3. construct a frequency
table for given set of data
23
24/6 – 38/6/13
6.2Understand
and use the
concept of Mode
and mean of
grouped data
i. determine the modal class
from the frequency table of
grouped data
1. calculate the midpoint of
a class
2. verify the formula for the
mean of grouped data
3. calculate the mean from
the frequency table of
grouped data
4. discuss the effect of the
size of class interval on
the accuracy of the mean
for a specific set of
grouped data
Interpreti
ng
Working
out
mentally
Making
inference
s
Identifyin
g
relations
24
01/7 -5/7/13
6.3 represent and
interpret data in
histograms with
class intervals
1. draw a histogram based
on the frequency table of
a grouped data
2. interpret information from
given histogram
3. solve problems involving
histograms
drawing
diagrams
interpreti
ng
25
8/7 -
12/7/13
6.4Represent and
interpret data in
Frequency
polygons to solve
problem
1. draw the frequency
polygon based on:
A. a histogram
B. a frequency table
2. interpret information from
a given frequency
polygon
3. solve problems involving
frequency polygon
drawing
diagrams
interpreti
ng
6.5 Understand
the concept of
Cumulative
frequency
1. construct the cumulative
frequency table for:
A. ungrouped data
B. grouped data
2. draw the ogive for:
ungrouped data
grouped data
working
out
mentally
drawing
diagrams
26
15/7 -
19/7/2013
6.6Understand
and use the
concept of
Measures of
dispersion
determine the range of a
set data
determine:
1. the median
2. the first quartile
interpreti
ng
identifyin
g
relations
the third quartile
the interquartile range
from the ogive
1. interpret information from
an ogive
2. solve problems involving
data representations and
measures of dispersion
26 Chapter 7:
Probability I
7.1Understand
the concept of
Sample space
determine whether an
outcome is a possible
outcome of an experiment
list all the possible
outcomes of an
experiment:
1. from activities
2. by reasoning
iii determine the sample
space of an experiment
Finding
all
possible
solutions
iv write the sample space by
using set notations
27
22/7 -
25/7/2013
7.2 Understand
the concept of
Events
1. identify the elements of a
sample space which
satisfy given conditions
2. list all the elements of a
sample which satisfy
certain conditions using
set notations
iii determine whether an
event is possible for a
sample space
Finding
all
possible
solutions
7.3Understand
and use the
concept of
Probability of an
event
1. find the ratio of the
number of times an event
occurs to the number of
trials
2. find the probability of an
event from a big enough
of trials
identifyin
g
relations
iii calculate the expected
number of times an event
will occur, given the
probability of the use event
and number of trials
1. solve problems involving
probability
2. predict the occurrence of
an outcome and make a
decision based on known
information
Ujian
bulanan
ke dua
29/7-
2/8/2013
Chapter 8:
Circles III
8.1 Understand
and use the
concept of
Tangents of a
circle
1. identify tangents to a
circle
2. make inference that the
tangent to a circle is a
straight line perpendicular
to the radius that passes
through the contact point
iii construct the tangent to a
circle passing through a
Working
out
mentally
Drawing
diagrams
Identifyin
g
relations
point:
1. on the circumference of
the circle
2. outside the circle
iv. determine the properties
related to two tangents to a
circle from a given point
outside the circle
v. solve problems involving
tangents to a circle
7/8 –
18/8/13
Cuti
pertengah
an tahun
8.2 Understand
and use the
properties of
Angle between
tangent and
chord
1. identify the angle in the
alternate segment which
is subtended by the chord
through the contact point
of the tangent
2. verify the relationship
between the angle formed
by the tangent and the
chord with the angle in
the alternate segment
identifyin
g
relations
which is subtended by the
chord
3. perform calculations
involving the angle in
alternate segment
4. solve problems involving
tangent to a circle and
angle in alternate
segment
29
20/8-
23/8/2013
8.3 Understand
and use the
properties of
common
tangents to solve
problem
1. determine the number of
common tangents which
can be drawn to two
circles which:
A. intersect at two points
B. intersect only at one
point
C. do not intersect
2. determine the properties
related to the common
tangent to two circles
which:
A. intersect at two points
B. intersect only at one
point
comparin
g and
differenti
ating
Finding
all
possible
solutions
Identifyin
g
relations
C. do not intersect
3. solve problems involving
common tangents to two
circles
4. solve problems involving
tangents and common
tangent
Chapter 9:
Trigonometr
y II
9.1 Values of sin
θ, cos θ and tan θ
.
1. identify the quadrants
and angles in the unit
circle
2. determine:
A. the value of y-
coordinate
B. the value of x-
coordinate
C. the ratio of y-
coordinate to x-
coordinate
of several points on the
circumference of the unit
circle
1. verify that, for an angle in
working
out
mentally
interpreti
ng
identifyin
g
relations
quadrant I of the unit
circle:
A.
B.
31
26/8-
30/8/2013
1.
1. determine the value of:
A. sine
B. cosine
C. tangent
of an angle in quadrant I of
the unit circle
1. determine the values of:
A. sin θ
B. cos θ
C. tan θ
for
1. determine whether the
values of:
A. sine
B. cosine
C. tangent
of an angle in a specific
quadrant is positive or
negative
1. determine the values of
sine, cosine and tangent
for special angles
2. determine the values of
the angles in quadrant I
which correspond to the
values of the angles in
other quadrants
1. State the relationships
between the values of:
A. sine
B. cosine, and
C. tangent
of angles in quadrant II, III
and IV with their respective
values of the corresponding
angle in quadrant I
1. Find the values of sine,
cosine and tangent of the
angles between 90º and
360º
2. Find the angles between
0º and 360º, given the
values of sine, cosine and
tangent
3. Solve problems involving
sine, cosine and tangent
32
2/9 -
6/9/2012
9.2Draw and use
Graphs of sine,
cosine and
tangent
1. draw the graphs of sine,
cosine and tangent for
angles between 0º and
360º
2. compare the graphs of
sine, cosine and tangent
for angles between 0º and
drawing
diagrams
comparin
g and
differenti
ating
360º
3. solve problems involving
graphs of sine, cosine and
tangent
interpreti
ng
33
9/9 -
13/9/2012
Chapter 10:
Angles of
Elevation
and
Depression
10.1Understand
and use the
concept of Angle
of elevation and
angle of
depression
1. identify:
A. the horizontal line
B. the angle of elevation
C. the angle of depression
2. represent a particular
situation involving
A. the angle of elevation
B. the angle of
depression, using
diagrams
3. solve problems involving
the angle of elevation and
the angle of depression
working
out
mentally
drawing
diagrams
identifyin
g
relations
34
17/9/13
Chapter 11:
Lines and
Planes in 3-
dimensions
11.1Understand
and use the
concept of Angle
between lines
and planes
1. identify planes
2. identify horizontal planes,
vertical planes and
inclined planes
3. sketch a three
dimensional shape and
Comparin
g and
differenti
ating
Working
out
-
20/9/13
identify the specific
planes
4. identify
5. identify normals to a
given plane
6. determine the orthogonal
projection of a line on a
plane
7. draw and name the
orthogonal projection of
line on plane
8. determine the angle
between a line and a
plane
solve problems involving the
angle between a line and a
plane
mentally
Identifyin
g
relations
35
11.2Understand
and the concept
of Angle between
two planes
1. identify the line of
intersection between two
planes
2. draw a line on each plane
which is perpendicular to
the line of intersection of
working
out
mentally
drawing
diagrams
23/9 -
27/9/2012
the two planes at a point
on the line of intersection
3. determine the angle
between two planes on a
model and a given
diagram
1. solve problems involving
lines and planes in 3-
dimensional shapes
identifyin
g
relations
36-38
30/9-
11/10/20
13
ULANGKAJI
Revisi
on
39,40,41`
29/10-
15/11/20
PEPERIKSAAN PENGGAL II
13